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Finding the Fourth Proportional to 76,670, 115,005 and 21,266

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Solution

The fourth proportional to 76,670, 115,005 and 21,266 is: 31,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,670 : 115,005 = 21,266 : x
  2. Step 2: Convert to fraction form
    76,670/115,005 = 21,266/x
  3. Step 3: Cross multiply
    76,670x = 115,005 × 21,266
  4. Step 4: Simplify right side
    76,670x = 2,445,696,330
  5. Step 5: Solve for x
    x = 2,445,696,330/76,670
  6. Step 6: Final answer
    x = 31,899

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.